Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Ngondiep, Eric"'
This paper develops a second-order explicit predictor-corrector numerical approach for solving a mathematical model on the dynamic of cytokine expressions and human immune cell activation in response to the bacterium staphylococcus aureus (S. aureus)
Externí odkaz:
http://arxiv.org/abs/2302.08793
Autor:
Ngondiep, Eric
This paper develops a robust three-level time split high-order Leapfrog/Crank-Nicolson technique for solving the two-dimensional unsteady sobolev and regularized long wave equations arising in fluid mechanics. A deep analysis of the stability and err
Externí odkaz:
http://arxiv.org/abs/2211.06298
Autor:
Ngondiep, Eric
This paper constructs a third-step second-order numerical approach for solving a mathematical model on the dynamic of corruption and poverty. The stability and error estimates of the proposed technique are analyzed using the $L^{2}$-norm. The develop
Externí odkaz:
http://arxiv.org/abs/2206.05022
Autor:
Ngondiep, Eric
This paper considers a two-step fourth-order modified explicit Euler/Crank-Nicolson numerical method for solving the time-variable fractional mobile-immobile advection-dispersion model subjects to suitable initial and boundary conditions. Both stabil
Externí odkaz:
http://arxiv.org/abs/2205.05077
Autor:
Ngondiep, Eric
This paper develops a two-level fourth-order scheme for solving time-fractional convection-diffusion-reaction equation with variable coefficients subjected to suitable initial and boundary conditions. The basis properties of the new approach are inve
Externí odkaz:
http://arxiv.org/abs/2104.06260
Autor:
Ngondiep, Eric
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2024 438
Autor:
Ngondiep, Eric
Publikováno v:
In Mathematics and Computers in Simulation January 2024 215:560-577
Autor:
Ngondiep, Eric
This paper considers an explicit numerical scheme for solving the mathematical model of the propagation of Covid-19 epidemic with undetected infectious cases. We analyze the stability and convergence rate of the new approach in $L^{\infty}$-norm. The
Externí odkaz:
http://arxiv.org/abs/2005.11279
Autor:
Ngondiep, Eric
In this paper, we analyze the three-level explicit time-split MacCormack procedure in the numerical solutions of two-dimensional viscous coupled Burgers' equations subject to initial and boundary conditions. The differential operators split the two-d
Externí odkaz:
http://arxiv.org/abs/1906.01544
Autor:
Ngondiep, Eric
Publikováno v:
Numer. Math. Theor. Meth. Appl., 12 (2019), pages: 750-777
Starting from the definition of an $n\times n$ $g$-Toeplitz matrix, $T_{n,g}(u)=\left[\widehat{u}_{r-gs}\right]_{r,s=0}^{n-1},$ where $g$ is a given nonnegative parameter, $\{\widehat{u}_{k}\}$ is the sequence of Fourier coefficients of the Lebesgue
Externí odkaz:
http://arxiv.org/abs/1905.03034